基于子阵阵元位置微扰的快速零陷形成技术

Fast Method for Nulling Based on Position Perturbation of Sub-Array Elements

将大型阵列分解为关于阵列中心对称的两个子阵,对内子阵进行位置微扰形成指定零陷。线性化微扰后方向图的泰勒展开式,以微扰后方向图形变最小化为目标,将约束条件分实部、虚部分别约束微扰值,用Lagrange乘数法求解微扰值,实现了在指定方位快速形成深零陷,并引入小值控制零陷深度。该法不改变阵列孔径,基本不改变原方向图形状。仿真结果表明方法有效。

The large array was divided into two contiguous subarrays symmetrical about the array center in this paper.The element positions perturbation of the inner was used to form the nulls in the antenna pattern.The Taylor expansion of the antenna pattern was linearized.For minimizing the changed of the antenna pattern after perturbation,the constrait terms were divided into real part and imaginary part,and the perturbation vector was computed by means of Lagrange＇s multiplier method,in which the null steering in required angle area was fast realized and the null was controlled by the small math value.The method caused the least change the primary pattern with no change of array size.The simulation results showed that the method was effective.